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Finding the Fourth Proportional to 5,743.20, 8,611.20 and 2,455.44

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Solution

The fourth proportional to 5,743.20, 8,611.20 and 2,455.44 is: 3,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.20 : 8,611.20 = 2,455.44 : x
  2. Step 2: Convert to fraction form
    5,743.20/8,611.20 = 2,455.44/x
  3. Step 3: Cross multiply
    5,743.20x = 8,611.20 × 2,455.44
  4. Step 4: Simplify right side
    5,743.20x = 21,144,284.93
  5. Step 5: Solve for x
    x = 21,144,284.93/5,743.20
  6. Step 6: Final answer
    x = 3,681.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.